1) para que valores reais de x o ponto p (3x -6, 2x +4) pertence ao 4º quadrante?

There are no real values of x for point P to belong to the 4 quadrant

Step-by-step explanation:

The question in English is

To what real values of x does the point P (3x -6, 2x +4) belong to the 4th quadrant?

we know that

A point in the fourth Quadrant has the x-coordinate positive and the y-coordinate negative

we have the point

P (3x-6, 2x+4)

----> inequality A  ( x-coordinate must be positive)

---> inequality B ( y-coordinate must be negative)

Solve Inequality A

 -----> (2,∞)

Solve Inequality B

----> (-∞,-2)

The solution of the system is

(-∞,-2) ∩ (2,∞)

therefore

The system has no solution

There are no real values of x for point P to belong to the 4 quadrant

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.